The single particle energies of a system of N non-interacting fermions of spin s (at T = 0) are E_n =n²E₀, n = 1, 2, 3 .. The ratio \(\epsilon_F\left(\frac{3}{2}\right) / \epsilon_F\left(\frac{1}{2}\right)\) of the Fermi energies for fermions of spin 3/2 and spin 1/2, is